Title
Nonpeaked Discriminant Analysis for Data Representation.
Abstract
Of late, there are many studies on the robust discriminant analysis, which adopt L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -norm as the distance metric, but their results are not robust enough to gain universal acceptance. To overcome this problem, the authors of this article present a nonpeaked discriminant analysis (NPDA) technique, in which cutting L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -norm is adopted as the distance metric. As this kind of norm can better eliminate heavy outliers in learning models, the proposed algorithm is expected to be stronger in performing feature extraction tasks for data representation than the existing robust discriminant analysis techniques, which are based on the L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -norm distance metric. The authors also present a comprehensive analysis to show that cutting L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -norm distance can be computed equally well, using the difference between two special convex functions. Against this background, an efficient iterative algorithm is designed for the optimization of the proposed objective. Theoretical proofs on the convergence of the algorithm are also presented. Theoretical insights and effectiveness of the proposed method are validated by experimental tests on several real data sets.
Year
DOI
Venue
2019
10.1109/TNNLS.2019.2944869
IEEE transactions on neural networks and learning systems
Keywords
Field
DocType
Cutting L₁-norm distance,data classification,discriminant analysis,robustness
External Data Representation,Pattern recognition,Computer science,Artificial intelligence,Linear discriminant analysis,Machine learning
Journal
Volume
Issue
ISSN
30
12
2162-237X
Citations 
PageRank 
References 
12
0.52
33
Authors
6
Name
Order
Citations
PageRank
Qiaolin Ye139727.02
Zechao Li21025.36
Liyong Fu35713.58
Zhao Zhang493865.99
Wankou Yang519926.33
Guowei Yang6120.52